PROBLEM SOLVING Customary and Metric Conversions

Transcription

1 ? Name 3.7 Essential Question PROLEM SOLVING ustomary and Metric onversions How can you use the strategy make a table to help you solve problems about customary and metric conversions? Geometry and Measurement 5.7. MTHEMTIL PROESSES 5.., 5.. Unlock the Problem aron is making fruit punch for a family reunion. He needs to make 0 cups of punch. If he wants to store the fruit punch in gallon containers, how many gallon containers will aron need? Use the graphic organizer below to help you solve the problem. gal qt pt c onversion Table gal 8 6 qt pt c 8 6 Read Plan What do I need to find? I need to find. What information am I given? I am given Solve. What is my plan or strategy? I will make a table to show the relationship between the number of and the number of. There are _ cups in gallon. So, each cup is _ of a gallon. omplete the table below. c 3 0 gal Multiply by. Houghton Mifflin Harcourt Publishing ompany So, aron needs _ gallon containers to store the punch. Will all of the gallon containers aron uses be filled to capacity? Explain. Module 3 503

2 Try nother Problem Sharon is working on a project for art class. She needs to cut strips of wood that are each decimeter long to complete the project. If Sharon has 7 strips of wood that are each meter long, how many -decimeter strips can she cut? m dm cm mm onversion Table m ,000 dm cm mm , Read Plan What do I need to find? What information am I given? What is my plan or strategy? Solve So, Sharon can cut _ -decimeter lengths to complete her project. What relationship did the table you made show? 50 Math Talk Mathematical Processes Explain how you could use another strategy to solve this problem. Houghton Mifflin Harcourt Publishing ompany

3 Name Share and Show. Edgardo has a drink cooler that holds 0 gallons of water. He is filling the cooler with a -quart container. How many times will he have to fill the quart container? First, make a table to show the relationship between gallons and quarts. gal qt 3 0 Then, look for a rule to help you complete your table. Finally, use the table to solve the problem. number of gallons _ = number of quarts Edgardo will need to fill the quart container _ times.. What if Edgardo only uses 3 quarts of water to fill the cooler. How many gallons of water does he use? 3. If Edgardo uses a -cup container to fill the cooler, how many times will he fill the -cup container? Problem Solving. Multi-Step Jane is making 3 leather belts. Each belt is 6. decimeters long. How many meters of leather does she use? Write Math Show Your Work 5. Evaluate arl is packing sports equipment in a box that can hold kilograms. He packed equipment with a mass of 0 dekagrams and says the box can t hold any more. Is arl right? Explain. Houghton Mifflin Harcourt Publishing ompany 6. Multi-Step Maria put trim around a banner that is the shape of a triangle. Each side is inches long. Maria has _ foot of trim left. What was the length of the trim when she started? Write your answer in yards. Module 3 Lesson 7 505

4 aily ssessment Task Mathematical Processes Fill in the bubble completely to show your answer. 7. Representations Three lizards ran across a patch of grass. Larry ran 3.6 meters, Lou ran,600 millimeters, and Lola ran 30 centimeters. Which statement correctly compares the distances the lizards ran? Larry ran the farthest. Lou ran farther than Lola. Lola ran farther than Larry. Lola ran the shortest distance. 8. Miranda is making lemonade from a powdered mix. She needs to add 3 cups of powdered mix to a large pitcher of water, but she only has a scoop that holds ounces. How many -ounce scoops will she use? scoops 8 scoops 0 scoops scoops 9. Multi-Step Mrs. Gonzalez is adding a border to her bulletin board. She has a strip of green border that is 8 feet long. How many 6-inch pieces can she cut from the strip? pieces 8 pieces 6 pieces pieces TEXS Test Prep 0. Tony needs 6-inch-long pieces of gold chain to make each of 3 necklaces. He has a piece of chain that is feet 6 inches long. How much chain will he have left after making the necklaces? inches inches 8 inches inches Houghton Mifflin Harcourt Publishing ompany

5 Homework and Practice Name Geometry and Measurement 5.7. MTHEMTIL PROESSES 5.., ustomary and Metric onversions. Jeremy walks through a maze. He begins by walking 5 feet, turning right, and walking 6 yards. Then he walks 3 more feet. He has 3 more yards to walk to complete the maze. What is the length of the maze? Write your answer in yards.. Randy uses a pedometer to keep track of the distances he walks each day. He discovers that the trip to his mailbox and back is 300 meters. How many kilometers does Randy walk to his mailbox and back if he collects his mail 6 days a week for weeks? 3. Team members are participating in a scavenger hunt. They meet at the starting point and ride their bikes kilometers. They find the first clue that says the second clue is 0 hectometers away. When they reach the second clue, they are told to go back 300 dekameters. Will the team members reach the point where they started after they follow the instructions for the second clue? Explain. Houghton Mifflin Harcourt Publishing ompany Problem Solving. Mrs. rnold is serving hamburgers to her family of 6 tonight for dinner. She uses _ pound of ground meat for each hamburger patty. She buys a package of meat that weighs 50 ounces. Will Mrs. rnold have enough meat? Explain. Module 3 Lesson 7 507

6 Lesson heck TEXS Test Prep Fill in the bubble completely to show your answer. 5. The lengths of three snakes exhibited in the zoo s reptile house are labeled. The king snake is 65 inches. The eastern diamondback rattlesnake is yards. The ridge-nosed rattlesnake is feet. Which statement correctly compares the lengths of the snakes? The king snake is the longest snake. The ridge-nosed rattlesnake is longer than the eastern diamondback rattlesnake. The eastern diamondback rattlesnake is the longest snake. 6. Mr. Martinez has.5 kilograms of colored sand for his art students to use on their sand art project. He packages the sand into individual bags with 5 grams in each bag. How many bags of sand can Mr. Martinez make? The eastern diamondback rattlesnake is shorter than the king snake. 7. baker needs 6 quarts of milk for a cupcake frosting recipe. He only has an 8-ounce measuring cup to measure the milk into the bowl. How many cups of milk will he use? 8. When Rosa makes lemonade, she uses 500 milliliters of lemon juice for every liter of water. If she made liters of lemonade, how much lemon juice did she use? 6 cups,000 milliliters cups 6,000 milliliters 0 cups 8,000 milliliters 3 cups,000 milliliters 9. Multi-Step Komodo dragon is 3 meters long. dwarf gecko is 5 millimeters long. How many dwarf geckos lined up end-toend would match the length of the Komodo dragon? Multi-Step ampers use a roll of string that is 50 yards long to make kites. Each kite will have 50 feet of kite line. How many kite lines can they cut from the roll of string? Houghton Mifflin Harcourt Publishing ompany

7 Name oncepts and Skills Module 3 ssessment onvert. q TEKS mi = yd. 8 qt = gal 3. 9 T = lb. 5 kg = g 5. ft = _ yd 6. 8,000 mm = m ompare. Write <, >, or =. q TEKS fl oz 3 c 8. L,000 ml 9. 8 yd 88 in. Solve. q TEKS large freight elevator can carry a maximum of 9,800 pounds. Movers loaded equipment on the elevator that weighs tons. How many more pounds of equipment can the elevator carry? Houghton Mifflin Harcourt Publishing ompany. standard coffee mug has a capacity of 6 fluid ounces. If nnie needs to fill 6 mugs with coffee, how many total quarts of coffee does she need? Module 3 509

8 Fill in the bubble completely to show your answer.. Howard cuts 80 centimeters off a.5-meter board. How much of the board does Howard have left? q TEKS 5.7. TEXS Test Prep 30 centimeters 70 centimeters 0 centimeters,0 centimeters 3. Mr. arter fills a tub with water so he can give his dog a bath. Which is the most appropriate unit for measuring the capacity of a tub? q TEKS 5.7 fluid ounce pint pound gallon. Milton purchases a 5-gallon aquarium for his bedroom. To fill the aquarium with water, he uses a container with a capacity of quart. How many times will Milton fill and empty the container before the aquarium is full? q TEKS lfred uses the same tool to measure the distance across a sidewalk and the distance across town. Which tool does he use? q TEKS 5.7 odometer metric ruler medical scale trundle wheel 6. girl walks 5,000 meters in one hour. If the girl walks at the same speed for hours, how many kilometers will she walk? q TEKS Record your answer and fill in the bubbles on the grid. e sure to use the correct place value Houghton Mifflin Harcourt Publishing ompany